77438140 has 48 divisors (see below), whose sum is σ = 178883712. Its totient is φ = 27979776.

The previous prime is 77438083. The next prime is 77438173. The reversal of 77438140 is 4183477.

It is a junction number, because it is equal to n+sod(n) for n = 77438096 and 77438105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9052 + ... + 15388.

It is an arithmetic number, because the mean of its divisors is an integer number (3726744).

Almost surely, 2^77438140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77438140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89441856).

77438140 is an abundant number, since it is smaller than the sum of its proper divisors (101445572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77438140 is a wasteful number, since it uses less digits than its factorization.

77438140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6404 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 77438140 is about 8799.8943175472. The cubic root of 77438140 is about 426.2374821102.

The spelling of 77438140 in words is "seventy-seven million, four hundred thirty-eight thousand, one hundred forty".